Scaling of excitons in carbon nanotubes

Physical Review Letters

Volumn 92, Issue 25 I, 2004, Pages

  Perebeinos, Vasili ^a   Tersoff, J ^a   Avouris, Phaedon ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BAND STRUCTURE; BINDING ENERGY; DIELECTRIC MATERIALS; EIGENVALUES AND EIGENFUNCTIONS; EXCITONS; HAMILTONIANS; HIGH ENERGY PHYSICS; KINETIC ENERGY; LIGHT EMISSION; OPTIMIZATION; OPTOELECTRONIC DEVICES; PARAMETER ESTIMATION; PERMITTIVITY; SILICA;

COULOMB INTERACTIONS; DIELECTRIC SCREENING; EXCITON ENERGIES; EXCITONIC RECOMBINATION;

CARBON NANOTUBES;

EID: 3442886080     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.257402     Document Type: Article

References (23)

1. Z. M. Li, Z. K. Tang, H. J. Liu, N. Wang, C. T. Chan, R. Saito, S. Okada, G. D. Li, J. S. Chen, N. Nagasawa, and S. Tsuda, Phys. Rev. Lett. 87, 127401 (2001).
2. M. J. O'Connell, S. M. Bachilo, C. B. Hoffman, V. C. Moore, M. S. Strano, E. H. Haroz, K. L. Riaion, P. J. Boul, W. H. Noon, C. Kittrell, J. Ma, R. H. Hauge, R. B. Weisman, and R. E. Smalley, Science 297, 593 (2002).
3. S. M. Bachilo, M. S. Strano, C. Kittrell, R. H. Hauge, R. E. Smalley, and R. B. Weisman, Science 298, 2361 (2002).
4. A. Hagen and T. Hertel, Nano Lett. 3, 383 (2003)
5. S. Lebedkin, F. Hennrich, T. Skipa, and M. M. Kappes, J. Phys. Chem. B 107, 1949 (2003).
6. J. Lefebvre, Y. Homma, and P. Finnie, Phys. Rev. Lett. 90, 217401 (2003).
7. J. A. Misewich, R. Martel, Ph. Avouris, J. C. Tsang, S. Heinze, and J. Tersoff, Science 300, 783 (2003).
8. M. Freitag, Y. Martin, J. A. Misewich, R. Martel, and Ph. Avouris, Nano Lett. 3, 1067 (2003).
9. T. Ando, J. Phys. Soc. Jpn. 66, 1066 (1997).
10. T. G. Pedersen, Phys. Rev. B 67, 073401 (2003).
11. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 90, 207401 (2003).
12. C. D. Spataru, S. Ismail-Beigi, L. X. Benedict, and S. G. Louie, Phys. Rev. Lett. 92, 077402 (2004); Appl. Phys. A 78, 1129 (2004).
13. C. D. Spataru, S. Ismail-Beigi, L. X. Benedict, and S. G. Louie, Phys. Rev. Lett. 92, 077402 (2004); Appl. Phys. A 78, 1129 (2004).
14. M. Rohlfing and S. G. Louie, Phys. Rev. B 62, 4927 (2000).
15. R. Saito and H. Kataura, in Carbon Nanotubes: Synthesis, Structure, Properties and Application, edited by M. S. Dresselhaus, G. Dresselhaus, and P. Avouris (Springer-Verlag, Heidelberg, 2001), Vol. 80.
16. This approach neglects s-p hybridization, which becomes increasingly important for narrower tubes. Fortunately, the associated error is small for the entire range of tubes and excitation energies considered here [except perhaps for the (8, 0) and (10, 0) tubes which are mentioned in the text but not including in the scaling analysis]; see X. Blase, L. X. Benedict, E. L. Shirley, and S.G. Louie, Phys. Rev. Lett. 72, 1878 (1994).
17. ∞ (i.e., for frequencies well above the phonon frequency) is used. A general treatment would require explicit inclusion of exciton-phonon coupling
18. R. Del Sole and R. Girlanda, Phys. Rev. B 48, 11789 (1993).
19. L. G. Johnson and G. Dresselhaus, Phys. Rev. B 7, 2275 (1973).
20. R. J. Elliott, Phys. Rev. 108, 1384 (1957).
21. F. Stern, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic, New York, 1963), Vol. 15, Sec. 36.
22. E. Hanamura, Phys. Rev. B 38, 1228 (1988).
23. D. S. Citrin, Phys. Rev. Lett. 69, 3393 (1992).